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Finding the Fourth Proportional to 5,678.36, 8,519 and 1,782.80

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Solution

The fourth proportional to 5,678.36, 8,519 and 1,782.80 is: 2,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.36 : 8,519 = 1,782.80 : x
  2. Step 2: Convert to fraction form
    5,678.36/8,519 = 1,782.80/x
  3. Step 3: Cross multiply
    5,678.36x = 8,519 × 1,782.80
  4. Step 4: Simplify right side
    5,678.36x = 15,187,673.20
  5. Step 5: Solve for x
    x = 15,187,673.20/5,678.36
  6. Step 6: Final answer
    x = 2,674.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.